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Finding the Fourth Proportional to 853.19, 1,284.29 and 727.91

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Solution

The fourth proportional to 853.19, 1,284.29 and 727.91 is: 1,095.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.19 : 1,284.29 = 727.91 : x
  2. Step 2: Convert to fraction form
    853.19/1,284.29 = 727.91/x
  3. Step 3: Cross multiply
    853.19x = 1,284.29 × 727.91
  4. Step 4: Simplify right side
    853.19x = 934,847.53
  5. Step 5: Solve for x
    x = 934,847.53/853.19
  6. Step 6: Final answer
    x = 1,095.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.